Pith Number

pith:QXCBVAYJ

pith:2015:QXCBVAYJFWNEQW2NGQM26M3TQ5

not attested not anchored not stored refs pending

The Lefschetz thimble and the sign problem

Luigi Scorzato

arxiv:1512.08039 v1 · 2015-12-25 · hep-lat

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QXCBVAYJFWNEQW2NGQM26M3TQ5}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T01:23:43.493080Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

85c41a83092d9a485b4d3419af3373877242d7708083f776cb9818b7fd88c414

Aliases

arxiv: 1512.08039 · arxiv_version: 1512.08039v1 · doi: 10.48550/arxiv.1512.08039 · pith_short_12: QXCBVAYJFWNE · pith_short_16: QXCBVAYJFWNEQW2N · pith_short_8: QXCBVAYJ

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/QXCBVAYJFWNEQW2NGQM26M3TQ5 \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 85c41a83092d9a485b4d3419af3373877242d7708083f776cb9818b7fd88c414

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "31b839fad283872b9dfb91c76f3d5ce80a368703fd64c0bb555a73323b73d81b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-lat",
    "submitted_at": "2015-12-25T21:31:46Z",
    "title_canon_sha256": "7f9ea3ad7b3d307fe12369f7b4725b4357a8cdc4dd6882766777a24af2f95dbb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.08039",
    "kind": "arxiv",
    "version": 1
  }
}